import timeit, random, math, psyco
#psyco.full()

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class Vector(list):
    def __iadd__(self, vector):
        self[0] += vector[0]
        self[1] += vector[1]
        self[2] += vector[2]
        return self
    
    def __sub__(self, vector):
        return Vector((self[0] - vector[0],
                       self[1] - vector[1],
                       self[2] - vector[2]))
    
    def magnitude_squared(self):
        return self[0]**2 + self[1]**2 + self[2]**2

def rand_seq():
	return (random.uniform(-13.0,13.0),
			random.uniform(-13.0,13.0),
			random.uniform(-13.0,13.0))

position = Vector((4.0,2.0,8.0))
#obs = [(i, Vector(rand_seq())) for i in range(1000)]

def check_collisions(objects):
    collisions = []
    for name, vector in objects:
        if abs(position[0] - vector[0]) < 6 and \
           abs(position[1] - vector[1]) < 6 and \
           abs(position[2] - vector[2]) < 6:
            difference = position-vector
            if difference.magnitude_squared() < 36:
                collisions.append(name)
    return collisions

def check_collisions2(objects):
	collisions = [name for name, vector in objects if abs(position[0] - vector[0]) < 36.0 if abs((position-vector).magnitude_squared()) < 36.0]
	return collisions

t = timeit.Timer('check_collisions2(obs)', 'from __main__ import check_collisions2, obs, position; import psyco; psyco.full()')
#print t.timeit(1)
#print t.timeit(10000)
t = timeit.Timer('check_collisions(obs)', 'from __main__ import check_collisions, obs, position; import psyco; psyco.full()')
print t.timeit(1)
print t.timeit(10000)
#import time
#t = time.time()
#for i in range(10000):
#	check_collisions2(obs)
#print time.time() - t
